%0 Generic %1 lucy2017binary %A Lucy, L. B. %D 2017 %K methods multiplicity %T Binary orbits from combined astrometric and spectroscopic data %U http://arxiv.org/abs/1710.07544 %X An efficient Bayesian technique for estimation problems in fundamental stellar astronomy is tested on simulated data for a binary observed both astrometrically and spectroscopically. Posterior distributions are computed for the components' masses and for the binary's parallax. One thousand independent repetitions of the simulation demonstrate that the 1- and 2-$\!\sigma$ credibility intervals for these fundamental quantities have close to the correct coverage fractions. In addition, the simulations allow the investigation of the statistical properties of a Bayesian goodness-of-fit criterion and of the corresponding p-value. The criterion has closely similar properties to the traditional chi^2 test for minimum-chi^2 solutions.

@misc{lucy2017binary, abstract = {An efficient Bayesian technique for estimation problems in fundamental stellar astronomy is tested on simulated data for a binary observed both astrometrically and spectroscopically. Posterior distributions are computed for the components' masses and for the binary's parallax. One thousand independent repetitions of the simulation demonstrate that the 1- and 2-$\!\sigma$ credibility intervals for these fundamental quantities have close to the correct coverage fractions. In addition, the simulations allow the investigation of the statistical properties of a Bayesian goodness-of-fit criterion and of the corresponding p-value. The criterion has closely similar properties to the traditional chi^{2} test for minimum-chi^{2} solutions.}, added-at = {2017-10-23T23:26:03.000+0200}, author = {Lucy, L. B.}, biburl = {https://www.bibsonomy.org/bibtex/22b46d739f41f49554e07ba63a0fa259b/superjenwinters}, description = {Binary orbits from combined astrometric and spectroscopic data}, interhash = {6b1cf9107b74f82ec533614aa51de422}, intrahash = {2b46d739f41f49554e07ba63a0fa259b}, keywords = {methods multiplicity}, note = {cite arxiv:1710.07544Comment: 9 pages, 3 figures. Submitted to Astronomy & Astrophysics}, timestamp = {2017-10-23T23:26:03.000+0200}, title = {Binary orbits from combined astrometric and spectroscopic data}, url = {http://arxiv.org/abs/1710.07544}, year = 2017 }